Boundary value problems for the shallow water equations with topography MC Shiue, J Laminie, R Temam, J Tribbia Journal of Geophysical Research: Oceans 116 (C2), 2011 | 27 | 2011 |

The barotropic mode for the primitive equations Q Chen, MC Shiue, R Temam Journal of Scientific Computing 45, 167-199, 2010 | 25 | 2010 |

Numerical approximation of the inviscid 3D primitive equations in a limited domain Q Chen, MC Shiue, R Temam, J Tribbia ESAIM: Mathematical Modelling and Numerical Analysis 46 (3), 619-646, 2012 | 17 | 2012 |

Boundary conditions for limited area models based on the shallow water equations A Bousquet, M Petcu, MC Shiue, R Temam, J Tribbia Communications in Computational Physics 14 (3), 664-702, 2013 | 15 | 2013 |

Interior penalty discontinuous Galerkin methods with implicit time‐integration techniques for nonlinear parabolic equations L Song, GM Gie, MC Shiue Numerical Methods for Partial Differential Equations 29 (4), 1341-1366, 2013 | 14 | 2013 |

Convergence of the MAC scheme for the Stokes/Darcy coupling problem MC Shiue, KC Ong, MC Lai Journal of Scientific Computing 76 (2), 1216-1251, 2018 | 12 | 2018 |

On the asymptotic stability analysis and the existence of time-periodic solutions of the primitive equations CH Hsia, MC Shiue Indiana University Mathematics Journal, 403-441, 2013 | 10 | 2013 |

A simple projection method for the coupled Navier-Stokes and Darcy flows MC Lai, MC Shiue, KC Ong Computational Geosciences 23, 21-33, 2019 | 9 | 2019 |

Analysis and computation of continuous data assimilation algorithms for Lorenz 63 system based on nonlinear nudging techniques YJ Du, MC Shiue Journal of Computational and Applied Mathematics 386, 113246, 2021 | 8 | 2021 |

On time periodic solutions, asymptotic stability and bifurcations of Navier-Stokes equations CH Hsia, CY Jung, TB Nguyen, MC Shiue Numerische Mathematik 135, 607-638, 2017 | 8 | 2017 |

An analysis on the penalty and Nitsche's methods for the Stokes–Darcy system with a curved interface G Zhou, T Kashiwabara, I Oikawa, E Chung, MC Shiue Applied Numerical Mathematics 165, 83-118, 2021 | 7 | 2021 |

Synchronization of heterogeneous forced first-order Kuramoto oscillator networks: A differential inequality approach SH Chen, CC Chu, CH Hsia, MC Shiue IEEE Transactions on Circuits and Systems I: Regular Papers 69 (2), 757-770, 2021 | 6 | 2021 |

An initial boundary value problem for one-dimensional shallow water magnetohydrodynamics in the solar tachocline MC Shiue Nonlinear Analysis: Theory, Methods & Applications 76, 215-228, 2013 | 6 | 2013 |

Time-periodic solutions of the primitive equations of large-scale moist atmosphere: existence and stability CH Hsia, MC Shiue Applicable Analysis 94 (9), 1926-1963, 2015 | 5 | 2015 |

On mathematical analysis of synchronization to bidirectionally coupled Kuramoto oscillators SH Chen, CH Hsia, MC Shiue Nonlinear Analysis: Real World Applications 56, 103169, 2020 | 4 | 2020 |

Self-gravitational force calculation of high-order accuracy for infinitesimally thin gaseous disks HH Wang, MC Shiue, RZ Wu, CC Yen The Astrophysical Journal Supplement Series 242 (2), 17, 2019 | 2 | 2019 |

Some DG schemes for the Stokes–Darcy problem using P1/P1 element G Zhou, T Kashiwabara, I Oikawa, E Chung, MC Shiue Japan Journal of Industrial and Applied Mathematics 36 (3), 1101-1128, 2019 | 1 | 2019 |

On the long-time stability of a temporal discretization scheme for the three dimensional viscous primitive equations CH Hsia, MC Shiue Numerische Mathematik 139, 187-245, 2018 | 1 | 2018 |

Finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging techniques YC Peng, LC Wu, MC Shiue Results in Applied Mathematics 20, 100407, 2023 | | 2023 |

A Derivative-Free Tamed Milstein Scheme for Commutative Stochastic Differential Equations with Nonglobally Lipschitz Continuous Coefficients YC Chang, MC Shiue Proceedings: 10th Taiwan─ Philippines Symposium on Analysis 57, 57, 2015 | | 2015 |